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Finding the Fourth Proportional to 33,440, 46,147.20 and 18,536

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Solution

The fourth proportional to 33,440, 46,147.20 and 18,536 is: 25,579.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,440 : 46,147.20 = 18,536 : x
  2. Step 2: Convert to fraction form
    33,440/46,147.20 = 18,536/x
  3. Step 3: Cross multiply
    33,440x = 46,147.20 × 18,536
  4. Step 4: Simplify right side
    33,440x = 855,384,499.20
  5. Step 5: Solve for x
    x = 855,384,499.20/33,440
  6. Step 6: Final answer
    x = 25,579.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.